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Finding the Fourth Proportional to 1,049.38, 1,570.32 and 987.10

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Solution

The fourth proportional to 1,049.38, 1,570.32 and 987.10 is: 1,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.38 : 1,570.32 = 987.10 : x
  2. Step 2: Convert to fraction form
    1,049.38/1,570.32 = 987.10/x
  3. Step 3: Cross multiply
    1,049.38x = 1,570.32 × 987.10
  4. Step 4: Simplify right side
    1,049.38x = 1,550,062.87
  5. Step 5: Solve for x
    x = 1,550,062.87/1,049.38
  6. Step 6: Final answer
    x = 1,477.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.